Patterns in Nature
the regularities that we see in the forms of the things in the natural world
Symmetry
if an imaginary line is drawn across an object, the resulting parts are mirrors of each other
Spiral
curved pattern that focuses on a center point and a series of circular shapes that revolve around it. This is common in plants and some animals
Meander
is a series of regular sinuous curves, bends, loops, turns, or windings in the channel of a river, stream, or other watercourses. It is produced by a stream or river swinging from side to side as it flows across its floodplain or shifts its channel within a valley
Cracks
linear openings that form in materials to relieve stress. The pattern of cracks indicates whether the material is elastic or not
Stripe
a strip or band that has a different color from the surface surrounding it. This may be seen in various living things, especially animals
Logic reasoning and pattern observing
the first two math standards, which are the most important measurement of IQ and the core component of many careers
Logical patterns
usually the first to be observed since making categories or classification comes before numeration
aptitude tests
logic tests can be seen on ______ wherein takers are shown a sequence of pictures and asked to select which figure comes next among several choices
Relative Positional Rule
This is how the black square is positioned inside each box
Movement Rule
This pertains to how the square moves in each box, in the clockwise direction
Geometric pattern
consists of shapes like polygons and circles that are repeated to create a design
Tessellation
a pattern that is formed by repeating polygons to cover a plane so that there are no gaps or overlaps
Regular tessellation
where a regular polygon is repeated
Semi-regular tessellation
with two or more regular polygons being repeated
Fractal
a never-ending pattern. It can be formed by continuously repeating something
Sierpinski Triangle
a fractal that is named after the Polish mathematician Waclaw Franciszek Sierpinski
Pascal's triangle
contains the numerical coefficients of binomial expansions
Fractal Tree
To construct a ______, start at some point and draw a line segment. From an endpoint, draw two branches at a certain angle. Repeat the previous step to the new endpoints and continue the process to make more branches
Koch Snowflake
In drawing a _________, one needs to start by drawing an equilateral triangle. Then, divide each side into three equal parts. After that, draw an equilateral triangle on each middle part
Word Patterns
can be found in giving the plural of nouns, in forming the past tense of verbs, and in word analogy. They can also be found in the meters of poetry and in the rhythm of the words
Analogy
compares two different things, showing the relationship between them. The colons stand for words; single colon reads as “is to”, double colon reads “as”
Rhyme Scheme
the rhymes' pattern at the line of a poem or song (often in nursery rhymes)
Haiku
a Japanese poem, typically about nature, with 17 syllables divided into three lines of 5, 7, and 5 syllables
Number pattern
a list of numbers that follow a particular sequence or order
Arithmetic Sequence
an ordered set of numbers that have a common difference between each consecutive term
common difference
the difference between two consecutive terms
Geometric Sequence
goes from one term to the next by always multiplying or dividing by the same value
common ratio
a term is multiplied by a constant
Triangular numbers
The terms of a triangular sequence are related to the number of dots needed to create a triangle 1, 3, 6, 10, 15...
Square Numbers
the terms are the squares of their position in the sequence 1, 4, 9, 16, 25
Cube Numbers
the terms are the cubes of their position in the sequence 1, 8, 27, 64, 125